3905281138400 has 72 divisors (see below), whose sum is σ = 9606544688664. Its totient is φ = 1550187891200.

The previous prime is 3905281138391. The next prime is 3905281138403. The reversal of 3905281138400 is 48311825093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905281138403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18527267 + ... + 18736866.

It is an arithmetic number, because the mean of its divisors is an integer number (133424231787).

Almost surely, 2^{3905281138400} is an apocalyptic number.

It is an amenable number.

3905281138400 is an abundant number, since it is smaller than the sum of its proper divisors (5701263550264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3905281138400 is a wasteful number, since it uses less digits than its factorization.

3905281138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37264284 (or 37264271 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 3905281138400 in words is "three trillion, nine hundred five billion, two hundred eighty-one million, one hundred thirty-eight thousand, four hundred".